Static brane--like vacuum solutions in D \ge 5 dimensional spacetime with positive ADM mass but no horizon

Details Static brane--like vacuum solutions in D \ge 5 dimensional spacetime with positive ADM mass but no horizon Static brane--like vacuum solutions in D \ge 5 dimensional spacetime with positive ADM mass but no horizon

2011-11-08

arxiv.org/abs/1111.1897v3

Physics

High Energy Physics

High Energy Physics - Theory

17 pages. Curvature components and more references added

Scientific paper

We describe static, brane--like, solutions to vacuum Einstein's equations in D = n + m + 2 dimensional spacetime with m \ge 2 and n \ge 1. These solutions have positive ADM mass but no horizon. The curvature invariants are finite everywhere except at r = 0 where r is the radial coordinate in the m + 1 dimensional space. The presence of n \ge 1 extra dimensions is crucial for these properties. Such solutions may be naturally anticipated if Mathur's fuzzball proposal for black holes is correct.

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